Answer
X can be any value except 2.
Work Step by Step
Because x - 2 and 2x-4 are in the denominator, and the denominator cannot equal 0, X cannot equal 2.
To solve this equation, we equate the cross products.
So, 3 $\times$ (2x - 4) = (x - 2) $\times$ 6
Use the distributive property.
6x - 12 = 6x - 12
Subtract 6x from both sides.
-12 = -12
As we can see, for every value of x, the equation is true.
However, we must remember that x cannot equal 2.
So, x can be any value except 2.
